Our work builds and expands on the general framework of U-statistics, first studied by Hoeffding [1]}. These are sums of the form
\( U_n \;=\; \frac{1}{\tbinom{n}{k}} \sum _{i_1 < i_2 < \cdots < i_k} h\left(X_{i_1},X_{i_2},\cdots ,X_{i_k}\right) \) 
